Add method to clone parameters with private attribute #805

Job	Run time
Testing on Python 3.8 (ubuntu-latest)	55s
linters (3.9, ubuntu-latest)	30s
Testing on Python 3.8 (macos-13)	1m 22s
Testing on Python 3.8 (windows-2019)	2m 31s
Testing on Python 3.9 (ubuntu-latest)	51s
Testing on Python 3.9 (macos-13)	1m 32s
Testing on Python 3.9 (windows-2019)	2m 33s
Testing on Python 3.10 (ubuntu-latest)	55s
Testing on Python 3.10 (macos-13)	1m 34s
Testing on Python 3.10 (windows-2019)	2m 21s
Testing on Python 3.11 (ubuntu-latest)	47s
Testing on Python 3.11 (macos-13)	2m 7s
Testing on Python 3.11 (windows-2019)	2m 19s
	20m 17s

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